15-13(x-2)=2x+1

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Solution for 15-13(x-2)=2x+1 equation:


Simplifying
15 + -13(x + -2) = 2x + 1

Reorder the terms:
15 + -13(-2 + x) = 2x + 1
15 + (-2 * -13 + x * -13) = 2x + 1
15 + (26 + -13x) = 2x + 1

Combine like terms: 15 + 26 = 41
41 + -13x = 2x + 1

Reorder the terms:
41 + -13x = 1 + 2x

Solving
41 + -13x = 1 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
41 + -13x + -2x = 1 + 2x + -2x

Combine like terms: -13x + -2x = -15x
41 + -15x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
41 + -15x = 1 + 0
41 + -15x = 1

Add '-41' to each side of the equation.
41 + -41 + -15x = 1 + -41

Combine like terms: 41 + -41 = 0
0 + -15x = 1 + -41
-15x = 1 + -41

Combine like terms: 1 + -41 = -40
-15x = -40

Divide each side by '-15'.
x = 2.666666667

Simplifying
x = 2.666666667

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